2400719328 has 216 divisors, whose sum is σ = 8409662352. Its totient is φ = 645507072.

The previous prime is 2400719327. The next prime is 2400719393. The reversal of 2400719328 is 8239170042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2400719292 and 2400719301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400719327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234901 + ... + 244907.

It is an arithmetic number, because the mean of its divisors is an integer number (38933622).

Almost surely, 2^2400719328 is an apocalyptic number.

2400719328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400719328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204831176).

2400719328 is an abundant number, since it is smaller than the sum of its proper divisors (6008943024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2400719328 is a wasteful number, since it uses less digits than its factorization.

2400719328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2400719328 is about 48997.1359162962. The cubic root of 2400719328 is about 1338.9996484321. Note that the first 3 decimals are identical.

The spelling of 2400719328 in words is "two billion, four hundred million, seven hundred nineteen thousand, three hundred twenty-eight".